Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials | Zendy

Trailokya Panigrahi | Zendy; Susanta K. Mohapatra | Zendy

Open Access

Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials

Author(s) -

Trailokya Panigrahi,

Susanta K. Mohapatra

Publication year - 2021

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2021.53.1.4

Subject(s) - chebyshev polynomials , mathematics , differential operator , operator (biology) , chebyshev filter , function (biology) , differential (mechanical device) , pure mathematics , discrete mathematics , mathematical analysis , physics , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene , thermodynamics

In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.

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